Contributions of the Six Giants

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Contributions of the Six Giants
Thales of Miletus
* He founded the geometry of lines, so is given credit for introducing abstract geometry.

* Developed the first general theorems in geometry.

* He was the first to demonstrate the truth of geometric relationship by showing that it flowed in a logical and orderly fashion from a set of universally accepted axioms called postulates Pythagoras * Founded Pythagoreans composed of two groups, the listeners & the mathematicians. They believed that “to become a good mathematician, one must first be a good listener.

* Discovered Pythagorean Theorem which states that “in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the two legs”.
* The words, “Let No One Ignorant of Geometry Enter My Doors”. was inscribed over the entrance to the Academy

* His Academy was structured by Euclid into a logical system

* Plato also played a crucial role in laying out the beginnings of Greek geometry. His main contribution was not the in the content of his discoveries, but in his contribution to the philosophy of mathematics.

* He noted the difference between an axiom and postulate.

* He also developed the laws of logical reasoning.

* He collected all the mathematical works known around 300 B.C. and compiled all these in a work of 13 chapters known as the Elements.

* At one time he was lecturing on geometry to a king who asked him, “Isn’t there an easier way for me to understand geometry?” Euclid replied, “There is no royal way to geometry.”

* He proved that the volume of a cube is 2/3 the volume of a circumscribed cylinder.

* He was also known for...
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